21739125946896 has 80 divisors (see below), whose sum is σ = 62411273686720. Its totient is φ = 7244989816320.

The previous prime is 21739125946873. The next prime is 21739125946903. The reversal of 21739125946896 is 69864952193712.

21739125946896 is a `hidden beast` number, since 2 + 1 + 7 + 39 + 125 + 9 + 468 + 9 + 6 = 666.

It is a super-2 number, since 2×21739125946896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2547490 + ... + 7068801.

It is an arithmetic number, because the mean of its divisors is an integer number (780140921084).

Almost surely, 2^{21739125946896} is an apocalyptic number.

It is an amenable number.

21739125946896 is an abundant number, since it is smaller than the sum of its proper divisors (40672147739824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21739125946896 is a wasteful number, since it uses less digits than its factorization.

21739125946896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9621541 (or 9621529 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 21739125946896 in words is "twenty-one trillion, seven hundred thirty-nine billion, one hundred twenty-five million, nine hundred forty-six thousand, eight hundred ninety-six".